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GKC---0.8.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : GRP167-5 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n029.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 00:53:01 EDT 2023

% Result   : Unsatisfiable 2.38s 0.71s
% Output   : CNFRefutation 2.38s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named '$inc_left_inverse')

% Comments : 
%------------------------------------------------------------------------------
cnf('1',plain,
    multiply(inverse(X),X) = identity,
    inference(cnf_transformation,[],['$inc_left_inverse']) ).

cnf('2',plain,
    multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)),
    inference(cnf_transformation,[],['$inc_associativity']) ).

cnf('3',plain,
    multiply(identity,X3) = multiply(inverse(Y3),multiply(Y3,X3)),
    inference(paramodulation,[],['1','2']) ).

cnf('4',plain,
    multiply(identity,X) = X,
    inference(cnf_transformation,[],['$inc_left_identity']) ).

cnf('5',plain,
    X = multiply(inverse(Y),multiply(Y,X)),
    inference(simplify,[],['3','4']) ).

cnf('6',plain,
    multiply(X,Y) = multiply(inverse(inverse(X)),Y),
    inference(paramodulation,[],['5','5']) ).

cnf('7',plain,
    multiply(X,inverse(X)) = identity,
    inference(paramodulation,[],['6','1']) ).

cnf('8',plain,
    positive_part(X) = least_upper_bound(X,identity),
    inference(cnf_transformation,[],[lat4_1]) ).

cnf('9',plain,
    multiply(X,least_upper_bound(Y,Z)) = least_upper_bound(multiply(X,Y),multiply(X,Z)),
    inference(cnf_transformation,[],['$inc_monotony_lub1']) ).

cnf('10',plain,
    multiply(X3,positive_part(Y3)) = least_upper_bound(multiply(X3,Y3),multiply(X3,identity)),
    inference(paramodulation,[],['8','9']) ).

cnf('11',plain,
    X = multiply(inverse(inverse(X)),identity),
    inference(paramodulation,[],['1','5']) ).

cnf('12',plain,
    X = multiply(X,identity),
    inference(paramodulation,[],['6','11']) ).

cnf('13',plain,
    multiply(X,positive_part(Y)) = least_upper_bound(multiply(X,Y),X),
    inference(simplify,[],['10','12']) ).

cnf('14',plain,
    multiply(X3,positive_part(inverse(X3))) = least_upper_bound(identity,X3),
    inference(paramodulation,[],['7','13']) ).

cnf('15',plain,
    least_upper_bound(X,Y) = least_upper_bound(Y,X),
    inference(cnf_transformation,[],['$inc_symmetry_of_lub']) ).

cnf('16',plain,
    positive_part(X) = least_upper_bound(identity,X),
    inference(paramodulation,[],['8','15']) ).

cnf('17',plain,
    multiply(X,positive_part(inverse(X))) = positive_part(X),
    inference(simplify,[],['14','16']) ).

cnf('18',plain,
    X = inverse(inverse(X)),
    inference(paramodulation,[],['12','11']) ).

cnf('19',plain,
    multiply(multiply(X3,inverse(Y3)),Y3) = multiply(X3,identity),
    inference(paramodulation,[],['1','2']) ).

cnf('20',plain,
    multiply(multiply(X,inverse(Y)),Y) = X,
    inference(simplify,[],['19','12']) ).

cnf('21',plain,
    multiply(multiply(X,Y),inverse(Y)) = X,
    inference(paramodulation,[],['18','20']) ).

cnf('22',plain,
    multiply(positive_part(X3),inverse(positive_part(inverse(X3)))) = X3,
    inference(paramodulation,[],['17','21']) ).

cnf('23',plain,
    multiply(multiply(X,identity),Y) = multiply(X,Y),
    inference(paramodulation,[],['4','2']) ).

cnf('24',plain,
    multiply(identity,X3) = multiply(inverse(identity),X3),
    inference(paramodulation,[],['1','23']) ).

cnf('25',plain,
    X = multiply(inverse(identity),X),
    inference(simplify,[],['24','4']) ).

cnf('26',plain,
    X = multiply(inverse(inverse(identity)),X),
    inference(paramodulation,[],['25','5']) ).

cnf('27',plain,
    inverse(identity) = identity,
    inference(paramodulation,[],['26','1']) ).

cnf('28',plain,
    inverse(least_upper_bound(X,Y)) = greatest_lower_bound(inverse(X),inverse(Y)),
    inference(cnf_transformation,[],[p10]) ).

cnf('29',plain,
    inverse(least_upper_bound(X3,identity)) = greatest_lower_bound(inverse(X3),identity),
    inference(paramodulation,[],['27','28']) ).

cnf('30',plain,
    negative_part(X) = greatest_lower_bound(X,identity),
    inference(cnf_transformation,[],[lat4_2]) ).

cnf('31',plain,
    inverse(positive_part(X)) = negative_part(inverse(X)),
    inference(simplify,[then_simplify],['29','8','30']) ).

cnf('32',plain,
    multiply(positive_part(X),negative_part(X)) = X,
    inference(simplify,[then_simplify],['22','31','18']) ).

cnf('33',plain,
    a != multiply(positive_part(a),negative_part(a)),
    inference(cnf_transformation,[],[prove_lat4]) ).

cnf('34',plain,
    $false,
    inference(paramodulation,[],['32','33']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP167-5 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.07/0.13  % Command  : gkc %s
% 0.12/0.34  % Computer : n029.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue Aug 29 02:58:56 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.19/0.39  
% 0.19/0.39  input clause set summed statistics:
% 0.19/0.39  ----------------------------------
% 0.19/0.39  in_clause_count:                    21
% 0.19/0.39  in_rule_clause_count:               21
% 0.19/0.39  in_fact_clause_count:                0
% 0.19/0.39  in_answer_clause_count:              0
% 0.19/0.39  in_ground_clause_count:              1
% 0.19/0.39  in_unit_clause_count:               21
% 0.19/0.39  in_horn_clause_count:               21
% 0.19/0.39  in_pos_clause_count:                20
% 0.19/0.39  in_neg_clause_count:                 1
% 0.19/0.39  in_poseq_clause_count:              20
% 0.19/0.39  in_negeq_clause_count:               1
% 0.19/0.39  in_unitposeq_clause_count:          20
% 0.19/0.39  in_chain_clause_count:               0
% 0.19/0.39  in_min_length:             1
% 0.19/0.39  in_max_length:             1
% 0.19/0.39  in_min_depth:              2
% 0.19/0.39  in_max_depth:              3
% 0.19/0.39  in_min_size:               5
% 0.19/0.39  in_max_size:              13
% 0.19/0.39  in_min_vars:               0
% 0.19/0.39  in_max_vars:               3
% 0.19/0.39  in_extaxiom_count:                15
% 0.19/0.39  in_axiom_count:                    5
% 0.19/0.39  in_assumption_count:               0
% 0.19/0.39  in_goal_count:                     1
% 0.19/0.39  in_neg_goal_count:                 1
% 0.19/0.39  in_pos_goal_count:                 0
% 0.19/0.39  in_posunit_goal_count:             0
% 0.19/0.39  
% 0.19/0.39  auto guide:
% 0.19/0.39  -----------
% 0.19/0.39  {
% 0.19/0.39  "print":1,
% 0.19/0.39  "print_level": 15,
% 0.19/0.39  "max_size": 0,
% 0.19/0.39  "max_depth": 0,
% 0.19/0.39  "max_length": 0,
% 0.19/0.39  "max_dseconds": 0,
% 0.19/0.39  "runs":[
% 0.19/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1},
% 0.19/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0},
% 0.19/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.19/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
% 0.19/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20},
% 0.19/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20},
% 0.19/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50},
% 0.19/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50},
% 0.19/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 1},
% 0.19/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0},
% 0.19/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.19/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
% 0.19/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20},
% 0.19/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20},
% 0.19/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50},
% 0.19/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50},
% 0.19/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para"], "query_preference": 1},
% 0.19/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para"], "query_preference": 0},
% 0.19/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.19/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
% 0.19/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para"], "query_preference": 1, "weight_select_ratio":20},
% 0.19/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para"], "query_preference": 0, "weight_select_ratio":20},
% 0.19/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50},
% 0.19/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50},
% 0.19/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 1},
% 0.19/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0},
% 0.19/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.19/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
% 0.19/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20},
% 0.19/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20},
% 0.19/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50},
% 0.19/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50},
% 0.19/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "rewrite":0},
% 0.19/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20, "rewrite":0},
% 0.19/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":2},
% 0.19/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.39  {"max_dseconds": 1, "strategy":["query_focus"], "query_preference": 0},
% 0.19/0.39  {"max_dseconds": 1, "strategy":["query_focus"], "query_preference": 1},
% 0.19/0.39  {"max_dseconds": 1, "strategy":["query_focus"], "query_preference": 2},
% 0.19/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "reverse_clauselist": 1},
% 0.19/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "max_depth": 2},
% 0.19/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "max_depth": 4},
% 0.19/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "max_depth": 6},
% 0.19/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "max_depth": 8},
% 0.19/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "max_depth": 10},
% 0.19/0.39  {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"max_size":10},
% 0.19/0.39  {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"max_size":15},
% 0.19/0.39  {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"max_size":20},
% 0.19/0.39  {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"max_size":20, "weight_select_ratio":2},
% 0.19/0.39  {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"max_size":30},
% 0.19/0.39  {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"max_size":40},
% 0.19/0.39  {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"var_weight":1},
% 0.19/0.39  {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"var_weight":1, "repeat_var_weight":1},
% 0.19/0.39  {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"max_size":30,"depth_penalty":50},
% 0.19/0.39  {"max_dseconds": 1,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"reverse_clauselist":1},
% 0.19/0.39  {"max_dseconds": 1,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"depth_penalty":100},
% 0.19/0.39  {"max_dseconds": 1,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100,"query_preference":0},
% 0.19/0.39  {"max_dseconds": 1,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":1},
% 0.19/0.39  {"max_dseconds": 1,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"weight_select_ratio":20},
% 0.19/0.39  {"max_dseconds": 1,"strategy":["unit","prohibit_nested_para"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100},
% 0.19/0.39  {"max_dseconds": 1,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"max_depth": 4},
% 0.19/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "sine":1},
% 0.19/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "sine":1, "rewrite":0},
% 0.19/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "sine":1, "weight_select_ratio":2},
% 0.19/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "sine":2},
% 0.19/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "sine":2},
% 0.19/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "sine":1},
% 0.19/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "sine":3},
% 0.19/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "sine":3},
% 0.19/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "sine":4},
% 0.19/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "sine":4},
% 0.19/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "sine":5},
% 0.19/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "sine":5},
% 0.19/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "sine":1, "depth_penalty":50},
% 0.19/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "sine":1, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.39  {"max_dseconds": 1, "strategy":["unit"], "var_weight":70,"repeat_var_weight":70,"query_preference":1, "sine":1},
% 0.19/0.39  
% 0.19/0.39  {"max_dseconds": 10, "strategy":["unit"], "query_preference": 1},
% 0.19/0.39  {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0},
% 0.19/0.39  {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.39  {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.19/0.39  {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
% 0.19/0.39  {"max_dseconds": 10, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20},
% 0.19/0.39  {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20},
% 0.19/0.39  {"max_dseconds": 10, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50},
% 0.19/0.39  {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50},
% 0.19/0.39  {"max_dseconds": 10, "strategy":["unit","prohibit_unordered_para"], "query_preference": 1},
% 0.19/0.39  {"max_dseconds": 10, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0},
% 0.19/0.39  {"max_dseconds": 10, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.39  {"max_dseconds": 10, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.19/0.39  {"max_dseconds": 10, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
% 0.19/0.39  {"max_dseconds": 10, "strategy":["unit","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20},
% 0.19/0.39  {"max_dseconds": 10, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20},
% 0.19/0.39  {"max_dseconds": 10, "strategy":["unit","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50},
% 0.19/0.39  {"max_dseconds": 10, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50},
% 0.19/0.39  {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para"], "query_preference": 1},
% 0.19/0.39  {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para"], "query_preference": 0},
% 0.19/0.39  {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
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% 0.19/0.39  {"max_dseconds": 250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"weight_select_ratio":20},
% 0.19/0.39  {"max_dseconds": 250,"strategy":["unit","prohibit_nested_para"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100},
% 0.19/0.39  {"max_dseconds": 250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"max_depth": 4},
% 0.19/0.39  {"max_dseconds": 250, "strategy":["unit"], "query_preference": 1, "sine":1},
% 0.19/0.39  {"max_dseconds": 250, "strategy":["unit"], "query_preference": 1, "sine":1, "rewrite":0},
% 0.19/0.39  {"max_dseconds": 250, "strategy":["unit"], "query_preference": 1, "sine":1, "weight_select_ratio":2},
% 0.19/0.39  {"max_dseconds": 250, "strategy":["unit"], "query_preference": 0, "sine":2},
% 0.19/0.39  {"max_dseconds": 250, "strategy":["unit"], "query_preference": 1, "sine":2},
% 0.19/0.39  {"max_dseconds": 250, "strategy":["unit"], "query_preference": 0, "sine":1},
% 0.19/0.39  {"max_dseconds": 250, "strategy":["unit"], "query_preference": 1, "sine":1, "depth_penalty":50},
% 0.19/0.39  {"max_dseconds": 250, "strategy":["unit"], "query_preference": 1, "sine":1, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.39  {"max_dseconds": 250, "strategy":["unit"], "var_weight":70,"repeat_var_weight":70,"query_preference":1, "sine":1},
% 0.19/0.39  
% 0.19/0.39  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1},
% 0.19/0.39  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0},
% 0.19/0.39  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.39  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.19/0.39  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
% 0.19/0.39  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20},
% 0.19/0.39  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20},
% 0.19/0.39  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50},
% 0.19/0.39  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50},
% 0.19/0.39  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "rewrite":0},
% 0.19/0.39  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20, "rewrite":0},
% 0.19/0.39  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":2},
% 0.19/0.39  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.39  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.39  {"max_dseconds": 1250, "strategy":["query_focus"], "query_preference": 0},
% 0.19/0.39  {"max_dseconds": 1250, "strategy":["query_focus"], "query_preference": 1},
% 0.19/0.39  {"max_dseconds": 1250, "strategy":["query_focus"], "query_preference": 2},
% 0.19/0.39  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "reverse_clauselist": 1},
% 0.19/0.39  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "max_depth": 2},
% 0.19/0.39  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "max_depth": 4},
% 0.19/0.39  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "max_depth": 6},
% 0.19/0.39  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "max_depth": 8},
% 0.19/0.39  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "max_depth": 10},
% 0.19/0.39  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":10},
% 0.19/0.39  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":15},
% 0.19/0.39  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":20},
% 0.19/0.39  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":20, "weight_select_ratio":2},
% 0.19/0.39  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":30},
% 0.19/0.39  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":40},
% 0.19/0.39  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"var_weight":1},
% 0.19/0.39  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"var_weight":1, "repeat_var_weight":1},
% 0.19/0.39  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":30,"depth_penalty":50},
% 0.19/0.39  {"max_dseconds": 1250,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"reverse_clauselist":1},
% 0.19/0.39  {"max_dseconds": 1250,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"depth_penalty":100},
% 0.19/0.39  {"max_dseconds": 1250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100,"query_preference":0},
% 0.19/0.39  {"max_dseconds": 1250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":1},
% 0.19/0.39  {"max_dseconds": 1250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"weight_select_ratio":20},
% 0.19/0.39  {"max_dseconds": 1250,"strategy":["unit","prohibit_nested_para"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100},
% 0.19/0.39  {"max_dseconds": 1250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"max_depth": 4},
% 0.19/0.39  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "sine":1},
% 0.19/0.39  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "sine":1, "rewrite":0},
% 0.19/0.39  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "sine":1, "weight_select_ratio":2},
% 0.19/0.39  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "sine":2},
% 0.19/0.39  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "sine":2},
% 0.19/0.39  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "sine":1},
% 0.19/0.39  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "sine":1, "depth_penalty":50},
% 0.19/0.39  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "sine":1, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.39  {"max_dseconds": 1250, "strategy":["unit"], "var_weight":70,"repeat_var_weight":70,"query_preference":1, "sine":1} 
% 0.19/0.39  
% 0.19/0.39  ]}
% 0.19/0.39  
% 0.19/0.39  
% 0.19/0.39  **** run 1 fork 0 starts with strategy
% 0.19/0.39  {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.19/0.39  
% 0.19/0.39  **** run 2 fork 1 starts with strategy
% 0.19/0.39  {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.19/0.39  
% 0.19/0.39  **** run 3 fork 2 starts with strategy
% 0.19/0.39  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 0.19/0.39  
% 0.19/0.39  **** run 4 fork 3 starts with strategy
% 0.19/0.39  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
% 0.19/0.39  
% 0.19/0.39  **** run 5 fork 4 starts with strategy
% 0.19/0.39  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"weight_select_ratio":20,"repeat_var_weight":1,"depth_penalty":100}
% 0.19/0.39  
% 0.19/0.39  **** run 6 fork 5 starts with strategy
% 0.19/0.39  {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20}
% 0.19/0.39  
% 0.19/0.39  **** run 7 fork 6 starts with strategy
% 0.19/0.39  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20}
% 0.19/0.40  
% 0.19/0.40  **** run 8 fork 7 starts with strategy
% 0.19/0.40  {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20,"depth_penalty":50}
% 0.19/0.51  
% 0.19/0.51  
% 0.19/0.51  fork 2: search terminated without proof.
% 0.19/0.51  
% 0.19/0.51  
% 0.19/0.51  fork 4: search terminated without proof.
% 0.19/0.51  
% 0.19/0.51  
% 0.19/0.51  fork 5: search terminated without proof.
% 0.19/0.51  
% 0.19/0.51  
% 0.19/0.51  fork 6: search terminated without proof.
% 0.19/0.52  
% 0.19/0.52  
% 0.19/0.52  fork 1: search terminated without proof.
% 0.19/0.52  
% 0.19/0.52  
% 0.19/0.52  fork 3: search terminated without proof.
% 0.19/0.53  
% 0.19/0.53  
% 0.19/0.53  fork 0: search terminated without proof.
% 0.19/0.54  
% 0.19/0.54  **** run 14 fork 5 starts with strategy
% 0.19/0.54  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0,"var_weight":1,"weight_select_ratio":20,"repeat_var_weight":1,"depth_penalty":100}
% 0.19/0.54  
% 0.19/0.54  **** run 15 fork 6 starts with strategy
% 0.19/0.54  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1,"weight_select_ratio":20}
% 0.19/0.54  
% 0.19/0.54  **** run 11 fork 2 starts with strategy
% 0.19/0.54  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 1.28/0.54  
% 1.28/0.54  **** run 13 fork 4 starts with strategy
% 1.28/0.54  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
% 1.28/0.54  
% 1.28/0.54  
% 1.28/0.54  fork 7: search terminated without proof.
% 1.28/0.54  
% 1.28/0.54  **** run 10 fork 1 starts with strategy
% 1.28/0.54  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 1.28/0.54  
% 1.28/0.54  **** run 12 fork 3 starts with strategy
% 1.28/0.54  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 1.28/0.55  
% 1.28/0.55  **** run 9 fork 0 starts with strategy
% 1.28/0.55  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50}
% 1.42/0.56  
% 1.42/0.56  **** run 16 fork 7 starts with strategy
% 1.42/0.56  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":20}
% 2.10/0.65  
% 2.10/0.65  
% 2.10/0.65  fork 5: search terminated without proof.
% 2.10/0.65  
% 2.10/0.65  
% 2.10/0.65  fork 2: search terminated without proof.
% 2.10/0.65  
% 2.10/0.65  
% 2.10/0.65  fork 6: search terminated without proof.
% 2.10/0.66  
% 2.10/0.66  
% 2.10/0.66  fork 4: search terminated without proof.
% 2.10/0.66  
% 2.10/0.66  
% 2.10/0.66  fork 1: search terminated without proof.
% 2.10/0.66  
% 2.10/0.66  
% 2.10/0.66  fork 3: search terminated without proof.
% 2.10/0.66  
% 2.10/0.66  
% 2.10/0.66  fork 0: search terminated without proof.
% 2.10/0.67  
% 2.10/0.67  **** run 22 fork 5 starts with strategy
% 2.10/0.67  {"max_dseconds":1,"strategy":["unit","prohibit_deep_para"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
% 2.10/0.68  
% 2.10/0.68  **** run 23 fork 6 starts with strategy
% 2.10/0.68  {"max_dseconds":1,"strategy":["unit","prohibit_deep_para"],"query_preference":0,"var_weight":1,"weight_select_ratio":20,"repeat_var_weight":1,"depth_penalty":100}
% 2.10/0.68  
% 2.10/0.68  **** run 20 fork 3 starts with strategy
% 2.10/0.68  {"max_dseconds":1,"strategy":["unit","prohibit_deep_para"],"query_preference":0}
% 2.10/0.68  
% 2.10/0.68  **** run 19 fork 2 starts with strategy
% 2.10/0.68  {"max_dseconds":1,"strategy":["unit","prohibit_deep_para"],"query_preference":1}
% 2.38/0.68  
% 2.38/0.68  **** run 21 fork 4 starts with strategy
% 2.38/0.68  {"max_dseconds":1,"strategy":["unit","prohibit_deep_para"],"query_preference":0,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 2.38/0.68  
% 2.38/0.68  **** run 18 fork 1 starts with strategy
% 2.38/0.68  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50}
% 2.38/0.69  
% 2.38/0.69  **** run 17 fork 0 starts with strategy
% 2.38/0.69  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1,"weight_select_ratio":20,"depth_penalty":50}
% 2.38/0.71  
% 2.38/0.71  
% 2.38/0.71  result: proof found
% 2.38/0.71  for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 2.38/0.71  by run 16 fork 7 strategy {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":20}
% 2.38/0.71  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 2.38/0.71  
% 2.38/0.71  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% See solution above
% 2.38/0.71  
% 2.38/0.71  run 16 fork 7 statistics:
% 2.38/0.71  ----------------------------------
% 2.38/0.71  this run seconds: 0.064056
% 2.38/0.71  total seconds: 0.225338
% 2.38/0.71  stat_given_used: 215
% 2.38/0.71  stat_given_used_at_endgame: 0
% 2.38/0.71  stat_given_candidates:   1669
% 2.38/0.71  stat_given_candidates_at_endgame: 0
% 2.38/0.71  stat_given_candidates_h: 0
% 2.38/0.71  stat_binres_derived_cl:   0
% 2.38/0.71  stat_binres_derived_cl_h: 0
% 2.38/0.71  stat_factor_derived_cl: 0
% 2.38/0.71  stat_para_derived_cl: 15206
% 2.38/0.71  stat_tautologies_discarded: 0
% 2.38/0.71  stat_forward_subsumed: 3663
% 2.38/0.71  stat_derived_cut: 0
% 2.38/0.71  stat_derived_rewritten: 57
% 2.38/0.71  stat_weight_discarded_building: 0
% 2.38/0.71  stat_weight_discarded_cl: 1207
% 2.38/0.71  stat_internlimit_discarded_cl: 0
% 2.38/0.71  stat_simplified:  57 simplified 0 derived 0 given
% 2.38/0.71  stat_kept_cl: 9461
% 2.38/0.71  stat_built_cl: 11155
% 2.38/0.71  stat_hyperres_partial_cl: 0
% 2.38/0.71  stat_made_rewriters: 206
% 2.38/0.71  stat_backward_subsumed: 0
% 2.38/0.71  stat_propagated_subsumed: 0
% 2.38/0.71  stat_clsubs_attempted:                      2414
% 2.38/0.71  stat_clsubs_fact_groundunit_found:             0
% 2.38/0.71  stat_clsubs_rule_groundunit_found:             1
% 2.38/0.71  stat_clsubs_top_meta_attempted:              24273
% 2.38/0.71  stat_clsubs_top_meta_failed:                 21859
% 2.38/0.71  stat_clsubs_top_meta_nonpref_attempted:               24273
% 2.38/0.71  stat_clsubs_top_meta_nonpref_succeeded:                7141
% 2.38/0.71  stat_clsubs_top_meta_pref_attempted:                   7141
% 2.38/0.71  stat_clsubs_top_meta_pref1_succeeded:                  7141
% 2.38/0.71  stat_clsubs_top_meta_pref2_succeeded:                  2660
% 2.38/0.71  stat_clsubs_top_meta_pref3_succeeded:                  2414
% 2.38/0.71  stat_clsubs_top_meta_pref_succeeded:                   2414
% 2.38/0.71  stat_clsubs_meta_attempted:                 2414
% 2.38/0.71  stat_clsubs_meta_failed:                       6
% 2.38/0.71  stat_clsubs_predsymbs_attempted:               0
% 2.38/0.71  stat_clsubs_unit_attempted:                 2414
% 2.38/0.71  stat_clsubs_full_attempted:                    0
% 2.38/0.71  stat_forwardsubs_attempted:                14331
% 2.38/0.71  stat_lit_hash_added:                   9486
% 2.38/0.71  stat_lit_hash_computed:               24058
% 2.38/0.71  stat_lit_hash_match_found:             3664
% 2.38/0.71  stat_lit_hash_match_miss:             21633
% 2.38/0.71  stat_lit_hash_cut_ok:                     0
% 2.38/0.71  stat_lit_strong_cut_ok:                   0
% 2.38/0.71  stat_lit_hash_subsume_ok:              3663
% 2.38/0.71  clqueue els 10000000 used 1
% 2.38/0.71  clactive els 10000000 used 216
% 2.38/0.71  clactivesubsume els 10000000 used 1267
% 2.38/0.71  queue_termbuf els 200000000 used 637768
% 2.38/0.71  hyper_termbuf els 100000000 used 1
% 2.38/0.71  active_termbuf els 100000000 used 7979
% 2.38/0.71  varstack els 5000 last used 1
% 2.38/0.71  given_termbuf els 10000000 last used 1
% 2.38/0.71  simplified_termbuf els 10000000 last used 1
% 2.38/0.71  derived_termbuf els 10000000 last used 22
% 2.38/0.71  wr_mallocs: 35639
% 2.38/0.71  wr_callocs: 21
% 2.38/0.71  wr_reallocs: 1200
% 2.38/0.71  wr_frees: 2
% 2.38/0.71  wr_malloc_bytes: 4163854516
% 2.38/0.71  wr_calloc_bytes: 112065536
% 2.38/0.71  wr_realloc_bytes: 289272
% 2.38/0.71  wr_realloc_freebytes: 0
% 2.38/0.71  ----------------------------------
%------------------------------------------------------------------------------